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Finding the Fourth Proportional to 2,102.13, 3,154.09 and 870.43

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Solution

The fourth proportional to 2,102.13, 3,154.09 and 870.43 is: 1,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.13 : 3,154.09 = 870.43 : x
  2. Step 2: Convert to fraction form
    2,102.13/3,154.09 = 870.43/x
  3. Step 3: Cross multiply
    2,102.13x = 3,154.09 × 870.43
  4. Step 4: Simplify right side
    2,102.13x = 2,745,414.56
  5. Step 5: Solve for x
    x = 2,745,414.56/2,102.13
  6. Step 6: Final answer
    x = 1,306.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.